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Geometric Aspects of Analysis and Mechanics Erik P. van den Ban

Geometric Aspects of Analysis and Mechanics By Erik P. van den Ban

Geometric Aspects of Analysis and Mechanics by Erik P. van den Ban


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Summary

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields.

Geometric Aspects of Analysis and Mechanics Summary

Geometric Aspects of Analysis and Mechanics: In Honor of the 65th Birthday of Hans Duistermaat by Erik P. van den Ban

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.

Table of Contents

Preface.- About J.J. Duistermaat.- Hans Duistermaat (1942-2010).- Recollections of Hans Duistermaat.- Recollections of Hans Duistermaat.- Recollections of Hans Duistermaat.- Classical Mechanics and Hans Duistermaat.- Duistermaat-Heckman formulas and index theory.- Asymptotic equivariant index of Toeplitz operators and relative index of CR structures.- A semi-classical inverse problem I: Taylor expansions.- A semi-classical inverse problem II: reconstruction of the potential.- On the solvability of systems of pseudodifferential operators.- The Darboux process and a noncommutative bispectral problem: some explorations and challenges.- Conjugation spaces and edges of compatible torus actions.- Non-Abelian localization for U(1) Chern-Simons theory.- Symplectic implosion and non-reductive quotients.- Quantization of q-Hamiltonian SU(2)-spaces.- Wall-crossing formulas in Hamiltonian geometry.- Eigenvalue distributions and Weyl laws for semi-classical non-self-adjoint operators in 2 dimensions.- Symplectic inverse spectral theory for pseudodifferential operators.

Additional information

NPB9780817682439
9780817682439
0817682430
Geometric Aspects of Analysis and Mechanics: In Honor of the 65th Birthday of Hans Duistermaat by Erik P. van den Ban
New
Hardback
Birkhauser Boston Inc
2011-07-01
372
N/A
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